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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment"> * Copyright (c) 2010-2011, NVIDIA Corporation</span>
<a name="l00003"></a>00003 <span class="comment"> * All rights reserved.</span>
<a name="l00004"></a>00004 <span class="comment"> *</span>
<a name="l00005"></a>00005 <span class="comment"> * Redistribution and use in source and binary forms, with or without</span>
<a name="l00006"></a>00006 <span class="comment"> * modification, are permitted provided that the following conditions are met:</span>
<a name="l00007"></a>00007 <span class="comment"> *   * Redistributions of source code must retain the above copyright</span>
<a name="l00008"></a>00008 <span class="comment"> *     notice, this list of conditions and the following disclaimer.</span>
<a name="l00009"></a>00009 <span class="comment"> *   * Redistributions in binary form must reproduce the above copyright</span>
<a name="l00010"></a>00010 <span class="comment"> *     notice, this list of conditions and the following disclaimer in the</span>
<a name="l00011"></a>00011 <span class="comment"> *     documentation and/or other materials provided with the distribution.</span>
<a name="l00012"></a>00012 <span class="comment"> *   * Neither the name of NVIDIA Corporation nor the</span>
<a name="l00013"></a>00013 <span class="comment"> *     names of its contributors may be used to endorse or promote products</span>
<a name="l00014"></a>00014 <span class="comment"> *     derived from this software without specific prior written permission.</span>
<a name="l00015"></a>00015 <span class="comment"> *</span>
<a name="l00016"></a>00016 <span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND</span>
<a name="l00017"></a>00017 <span class="comment"> * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED</span>
<a name="l00018"></a>00018 <span class="comment"> * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE</span>
<a name="l00019"></a>00019 <span class="comment"> * DISCLAIMED. IN NO EVENT SHALL &lt;COPYRIGHT HOLDER&gt; BE LIABLE FOR ANY</span>
<a name="l00020"></a>00020 <span class="comment"> * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES</span>
<a name="l00021"></a>00021 <span class="comment"> * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span>
<a name="l00022"></a>00022 <span class="comment"> * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND</span>
<a name="l00023"></a>00023 <span class="comment"> * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span>
<a name="l00024"></a>00024 <span class="comment"> * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS</span>
<a name="l00025"></a>00025 <span class="comment"> * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span>
<a name="l00026"></a>00026 <span class="comment"> */</span>
<a name="l00027"></a>00027 
<a name="l00028"></a>00028 <span class="preprocessor">#pragma once</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span>
<a name="l00030"></a>00030 <span class="keyword">namespace </span>nih {
<a name="l00031"></a>00031 
<a name="l00032"></a>00032 <span class="comment">// maps a point in spherical coordinates to the unit sphere</span>
<a name="l00033"></a><a class="code" href="group__spherical__mappings.html#gabb50d34723dc8f63f83481dda7e4538a">00033</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector3f</a> <a class="code" href="group__spherical__mappings.html#gabb50d34723dc8f63f83481dda7e4538a">from_spherical_coords</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>&amp; uv)
<a name="l00034"></a>00034 {
<a name="l00035"></a>00035         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>(
<a name="l00036"></a>00036                 cosf(uv[0])*sinf(uv[1]),
<a name="l00037"></a>00037                 sinf(uv[0])*sinf(uv[1]),
<a name="l00038"></a>00038                 cosf(uv[1]) );
<a name="l00039"></a>00039 }
<a name="l00040"></a>00040 <span class="comment">// computes the spherical coordinates of a 3d point</span>
<a name="l00041"></a><a class="code" href="group__spherical__mappings.html#gae14d642cb444062ebf966fc27f379972">00041</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector2f</a> <a class="code" href="group__spherical__mappings.html#gae14d642cb444062ebf966fc27f379972">to_spherical_coords</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>&amp; vec)
<a name="l00042"></a>00042 {
<a name="l00043"></a>00043     <span class="comment">// to spherical in [0,2pi] (phi) and [0,pi] (theta).</span>
<a name="l00044"></a>00044     <span class="keywordtype">float</span> theta, phi;
<a name="l00045"></a>00045         <span class="keywordflow">if</span> (fabsf(vec[2]) &gt;= 1.0f - 1.0e-5f)
<a name="l00046"></a>00046                 phi = 0.0f;
<a name="l00047"></a>00047         <span class="keywordflow">else</span> {
<a name="l00048"></a>00048                 phi = atan2f( vec[1], vec[0] );
<a name="l00049"></a>00049                 phi = phi&lt;0.0f ? phi+2.0f*float(M_PI) : phi;
<a name="l00050"></a>00050         }
<a name="l00051"></a>00051     theta = acosf( vec[2] );
<a name="l00052"></a>00052         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>(phi,theta);
<a name="l00053"></a>00053 }
<a name="l00054"></a>00054 
<a name="l00055"></a>00055 <span class="comment">// seedx, seedy is point on [0,1]^2.  x, y is point on radius 1 disk</span>
<a name="l00056"></a><a class="code" href="group__spherical__mappings.html#ga5852f54031a04a3c2622ac9c1c3ee181">00056</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector2f</a> <a class="code" href="group__spherical__mappings.html#ga5852f54031a04a3c2622ac9c1c3ee181">square_to_unit_disk</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a> seed)
<a name="l00057"></a>00057 {
<a name="l00058"></a>00058         <span class="keywordtype">float</span> phi, r;
<a name="l00059"></a>00059 
<a name="l00060"></a>00060         <span class="keywordtype">float</span> a = 2*seed[0] - 1;                <span class="comment">// (a,b) is now on [-1,1]^2</span>
<a name="l00061"></a>00061         <span class="keywordtype">float</span> b = 2*seed[1] - 1;
<a name="l00062"></a>00062 
<a name="l00063"></a>00063         <span class="keywordflow">if</span> (a &gt; -b) {                                   <span class="comment">// region 1 or 2</span>
<a name="l00064"></a>00064            <span class="keywordflow">if</span> (a &gt; b) {                                 <span class="comment">// region 1, also |a| &gt; |b|</span>
<a name="l00065"></a>00065                    r = a;
<a name="l00066"></a>00066                    phi = (M_PIf/4 ) * (b/a);
<a name="l00067"></a>00067            }
<a name="l00068"></a>00068            <span class="keywordflow">else</span>       {                                 <span class="comment">// region 2, also |b| &gt; |a|</span>
<a name="l00069"></a>00069                    r = b;
<a name="l00070"></a>00070                    phi = (M_PIf/4) * (2 - (a/b));
<a name="l00071"></a>00071            }
<a name="l00072"></a>00072         }
<a name="l00073"></a>00073         <span class="keywordflow">else</span> {                                                  <span class="comment">// region 3 or 4</span>
<a name="l00074"></a>00074            <span class="keywordflow">if</span> (a &lt; b) {                                 <span class="comment">// region 3, also |a| &gt;= |b|, a != 0</span>
<a name="l00075"></a>00075                         r = -a;
<a name="l00076"></a>00076                         phi = (M_PIf/4) * (4 + (b/a));
<a name="l00077"></a>00077            }
<a name="l00078"></a>00078            <span class="keywordflow">else</span>       {                                 <span class="comment">// region 4, |b| &gt;= |a|, but a==0 and b==0 could occur.</span>
<a name="l00079"></a>00079                         r = -b;
<a name="l00080"></a>00080                         phi = b != 0 ? (M_PIf/4) * (6 - (a/b)) : 0;
<a name="l00081"></a>00081            }
<a name="l00082"></a>00082         }
<a name="l00083"></a>00083 
<a name="l00084"></a>00084         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>(
<a name="l00085"></a>00085                 r * cosf(phi),
<a name="l00086"></a>00086                 r * sinf(phi) );
<a name="l00087"></a>00087 }
<a name="l00088"></a>00088 
<a name="l00089"></a>00089 <span class="comment">// diskx, disky is point on radius 1 disk.  x, y is point on [0,1]^2</span>
<a name="l00090"></a><a class="code" href="group__spherical__mappings.html#ga4c1322b35d3548385cfbcde647eaa9b6">00090</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector2f</a> <a class="code" href="group__spherical__mappings.html#ga4c1322b35d3548385cfbcde647eaa9b6">unit_disk_to_square</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a> disk)
<a name="l00091"></a>00091 {
<a name="l00092"></a>00092         <span class="keywordtype">float</span> r = sqrtf( disk[0]*disk[0] + disk[1]*disk[1] );
<a name="l00093"></a>00093         <span class="keywordtype">float</span> phi = atan2f( disk[1], disk[0] );
<a name="l00094"></a>00094         <span class="keywordtype">float</span> a, b;
<a name="l00095"></a>00095         <span class="keywordflow">if</span> (phi &lt; -M_PIf/4) phi += 2*M_PIf;     <span class="comment">// in range [-pi/4,7pi/4]</span>
<a name="l00096"></a>00096         <span class="keywordflow">if</span> ( phi &lt; M_PIf/4) {                           <span class="comment">// region 1</span>
<a name="l00097"></a>00097                 a = r;
<a name="l00098"></a>00098                 b = phi * a / (M_PIf/4);
<a name="l00099"></a>00099         }
<a name="l00100"></a>00100         <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( phi &lt; 3*M_PIf/4 ) {           <span class="comment">// region 2</span>
<a name="l00101"></a>00101                 b = r;
<a name="l00102"></a>00102                 a = -(phi - M_PIf/2) * b / (M_PIf/4);
<a name="l00103"></a>00103         }
<a name="l00104"></a>00104         <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( phi &lt; 5*M_PIf/4 ) {           <span class="comment">// region 3</span>
<a name="l00105"></a>00105                 a = -r;
<a name="l00106"></a>00106                 b = (phi - M_PIf) * a / (M_PIf/4);
<a name="l00107"></a>00107         }
<a name="l00108"></a>00108         <span class="keywordflow">else</span> {                                                          <span class="comment">// region 4</span>
<a name="l00109"></a>00109                 b = -r;
<a name="l00110"></a>00110                 a = -(phi - 3*M_PIf/2) * b / (M_PIf/4);
<a name="l00111"></a>00111         }
<a name="l00112"></a>00112 
<a name="l00113"></a>00113         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>(
<a name="l00114"></a>00114                 (a + 1) / 2,
<a name="l00115"></a>00115                 (b + 1) / 2 );
<a name="l00116"></a>00116 }
<a name="l00117"></a>00117 
<a name="l00118"></a>00118 <span class="comment">// maps the unit square to the hemisphere with a cosine-weighted distribution</span>
<a name="l00119"></a><a class="code" href="group__spherical__mappings.html#ga8b4bb2387e2dcc609267e00777c753d1">00119</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector3f</a> <a class="code" href="group__spherical__mappings.html#ga8b4bb2387e2dcc609267e00777c753d1">square_to_cosine_hemisphere</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>&amp; uv)
<a name="l00120"></a>00120 {
<a name="l00121"></a>00121         <span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a> disk = <a class="code" href="group__spherical__mappings.html#ga5852f54031a04a3c2622ac9c1c3ee181">square_to_unit_disk</a>( uv );
<a name="l00122"></a>00122         <span class="keyword">const</span> <span class="keywordtype">float</span> r2 = disk[0]*disk[0] + disk[1]*disk[1];
<a name="l00123"></a>00123         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>(
<a name="l00124"></a>00124                 disk[0],
<a name="l00125"></a>00125                 disk[1],
<a name="l00126"></a>00126         sqrtf( <a class="code" href="group__vectors.html#gab2b34b1991185fc29890973777b60e54">max</a>(1.0f - r2,0.0f) ) );
<a name="l00127"></a>00127 <span class="comment">//      const float cosTheta = sqrtf(std::max(uv[1],0.0f));</span>
<a name="l00128"></a>00128 <span class="comment">//      const float sinTheta = sqrtf(std::max(1.0f - cosTheta*cosTheta,0.0f));</span>
<a name="l00129"></a>00129 <span class="comment">//      const float phi = uv[0] * 2.0f * float(M_PI);</span>
<a name="l00130"></a>00130 <span class="comment">//</span>
<a name="l00131"></a>00131 <span class="comment">//      return Vector3f(</span>
<a name="l00132"></a>00132 <span class="comment">//              cosf(phi)*sinTheta,</span>
<a name="l00133"></a>00133 <span class="comment">//              sinf(phi)*sinTheta,</span>
<a name="l00134"></a>00134 <span class="comment">//              cosTheta );</span>
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136 <span class="comment">// inverts the square to cosine-weighted hemisphere mapping</span>
<a name="l00137"></a><a class="code" href="group__spherical__mappings.html#ga1e65205c0882ccfa8b8cea7ab18525ce">00137</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector2f</a> <a class="code" href="group__spherical__mappings.html#ga1e65205c0882ccfa8b8cea7ab18525ce">cosine_hemisphere_to_square</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>&amp; dir)
<a name="l00138"></a>00138 {
<a name="l00139"></a>00139         <span class="keywordflow">return</span> <a class="code" href="group__spherical__mappings.html#ga4c1322b35d3548385cfbcde647eaa9b6">unit_disk_to_square</a>( <a class="code" href="structnih_1_1_vector.html">Vector2f</a>( dir[0], dir[1] ) );
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141 <span class="comment">// maps the unit square to the sphere with a uniform distribution</span>
<a name="l00142"></a><a class="code" href="group__spherical__mappings.html#ga711e9a117559053c96478f404aa2a278">00142</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector3f</a> <a class="code" href="group__spherical__mappings.html#ga711e9a117559053c96478f404aa2a278">uniform_square_to_sphere</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>&amp; uv)
<a name="l00143"></a>00143 {
<a name="l00144"></a>00144         <span class="keyword">const</span> <span class="keywordtype">float</span> cosTheta = uv[1]*2.0f - 1.0f;
<a name="l00145"></a>00145         <span class="keyword">const</span> <span class="keywordtype">float</span> sinTheta = fast_sqrt(<a class="code" href="group__vectors.html#gab2b34b1991185fc29890973777b60e54">max</a>(1.0f - cosTheta*cosTheta,0.0f));
<a name="l00146"></a>00146         <span class="keyword">const</span> <span class="keywordtype">float</span> phi = uv[0] * 2.0f * float(M_PI);
<a name="l00147"></a>00147 
<a name="l00148"></a>00148         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>(
<a name="l00149"></a>00149                 fast_cos(phi)*sinTheta,
<a name="l00150"></a>00150                 fast_sin(phi)*sinTheta,
<a name="l00151"></a>00151                 cosTheta );
<a name="l00152"></a>00152 }
<a name="l00153"></a>00153 <span class="comment">// maps the sphere to a unit square with a uniform distribution</span>
<a name="l00154"></a><a class="code" href="group__spherical__mappings.html#ga74d80bd5bc66492ae691520586329be5">00154</a> <span class="keyword">inline</span> NIH_HOST NIH_DEVICE <a class="code" href="structnih_1_1_vector.html">Vector2f</a> <a class="code" href="group__spherical__mappings.html#ga74d80bd5bc66492ae691520586329be5">uniform_sphere_to_square</a>(<span class="keyword">const</span> <a class="code" href="structnih_1_1_vector.html">Vector3f</a>&amp; vec)
<a name="l00155"></a>00155 {
<a name="l00156"></a>00156         <span class="keyword">const</span> <span class="keywordtype">float</span> cosTheta = vec[2];
<a name="l00157"></a>00157         <span class="keywordtype">float</span> phi;
<a name="l00158"></a>00158         <span class="keywordflow">if</span> (fabsf(vec[2]) &gt;= 1.0f - 1.0e-5f)
<a name="l00159"></a>00159                 phi = 0.0f;
<a name="l00160"></a>00160         <span class="keywordflow">else</span> {
<a name="l00161"></a>00161                 phi = atan2f( vec[1], vec[0] );
<a name="l00162"></a>00162                 phi = phi&lt;0.0f ? phi+2.0f*float(M_PI) : phi;
<a name="l00163"></a>00163         }
<a name="l00164"></a>00164         <span class="keywordflow">return</span> <a class="code" href="structnih_1_1_vector.html">Vector2f</a>(phi/(2.0f*<span class="keywordtype">float</span>(M_PI)),(cosTheta+1.0f)*0.5f);
<a name="l00165"></a>00165 }
<a name="l00166"></a>00166 
<a name="l00167"></a>00167 } <span class="comment">// namespace nih</span>
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